A lower bound on the probability that a binomial random variable is exceeding its mean

作者：Pelekis Christos^*; Ramon Jan

来源：Statistics & Probability Letters, 2016, 119: 305-309.

DOI：10.1016/j.spl.2016.08.016

• Lower bounds
• Binomial tail
• Mean absolute deviation
• Tail conditional expectation
• Hazard rate order

We provide a lower bound on the probability that a binomial random variable is exceeding its mean. Our proof employs estimates on the mean absolute deviation and the tail conditional expectation of binomial random variables.

• 出版日期2016-12